{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:QM35TIROBADW2LXCFP57L2V6ZU","short_pith_number":"pith:QM35TIRO","canonical_record":{"source":{"id":"1201.1145","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-01-05T12:20:41Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"1e83a8bd2be8c204b20cc332e9a8b486cdcb0bd46fc4d0fe28bec55ab51874b2","abstract_canon_sha256":"74632166dc95f64cf392883974cfe5c973bb52740cfe8bf40dc90dc5d577909f"},"schema_version":"1.0"},"canonical_sha256":"8337d9a22e08076d2ee22bfbf5eabecd0df383bf46465783c1b370c18c5051db","source":{"kind":"arxiv","id":"1201.1145","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1145","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1145v1","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1145","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"pith_short_12","alias_value":"QM35TIROBADW","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QM35TIROBADW2LXC","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QM35TIRO","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:QM35TIROBADW2LXCFP57L2V6ZU","target":"record","payload":{"canonical_record":{"source":{"id":"1201.1145","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-01-05T12:20:41Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"1e83a8bd2be8c204b20cc332e9a8b486cdcb0bd46fc4d0fe28bec55ab51874b2","abstract_canon_sha256":"74632166dc95f64cf392883974cfe5c973bb52740cfe8bf40dc90dc5d577909f"},"schema_version":"1.0"},"canonical_sha256":"8337d9a22e08076d2ee22bfbf5eabecd0df383bf46465783c1b370c18c5051db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:05.986562Z","signature_b64":"jun2tTxK/p2Ck1oK9Db3yd4NNKjx3x+V/089sBaQH7k/8ipz5RPOx6iaN98T1k+py9VHbMzgo+hZF9GKxcHwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8337d9a22e08076d2ee22bfbf5eabecd0df383bf46465783c1b370c18c5051db","last_reissued_at":"2026-05-18T04:05:05.985849Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:05.985849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.1145","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:05:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cXQ2Hwv5p5IZnjOhny6ZNxi7jquYDVvbckkbo39ZrnZiVnU7SqkGVDUK6mypGvYIQu32i5sS6F/dGJq4DfAnCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:53:49.661773Z"},"content_sha256":"de33bbd834690691844b78a9e6f608fad713ff17b8fa8a241cd771e3488d2380","schema_version":"1.0","event_id":"sha256:de33bbd834690691844b78a9e6f608fad713ff17b8fa8a241cd771e3488d2380"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:QM35TIROBADW2LXCFP57L2V6ZU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conservation laws, bright matter wave solitons and modulational instability of nonlinear Schr\\\"{o}dinger equation with time-dependent nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Hong-Qing Zhang, Li Zou, Qi Ding, Shou-Fu Tian","submitted_at":"2012-01-05T12:20:41Z","abstract_excerpt":"In this paper, we consider a general form of nonlinear Schr\\\"{o}dinger equation with time-dependent nonlinearity. Based on the linear eigenvalue problem, the complete integrability of such nonlinear Schr\\\"{o}dinger equation is identified by admitting an infinite number of conservation laws. Using the Darboux transformation method, we obtain some explicit bright multi-soliton solutions in a recursive manner. The propagation characteristic of solitons and their interactions under the periodic plane wave background are discussed. Finally, the modulational instability of solutions is analyzed in t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1145","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:05:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m5Mp8Gb+b1IEBbeAXTPp5yltvCLvIh0TOkW0w3d4H/1ZB7tFM2A3cq1+lfX1YLZx8dA4nS12J8eI9CsFWl/TAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:53:49.662648Z"},"content_sha256":"279a023eb0b0de4280a0d345d896344daa0ee6b8ed9b6fdff6eafb4707ca16a0","schema_version":"1.0","event_id":"sha256:279a023eb0b0de4280a0d345d896344daa0ee6b8ed9b6fdff6eafb4707ca16a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QM35TIROBADW2LXCFP57L2V6ZU/bundle.json","state_url":"https://pith.science/pith/QM35TIROBADW2LXCFP57L2V6ZU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QM35TIROBADW2LXCFP57L2V6ZU/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T12:53:49Z","links":{"resolver":"https://pith.science/pith/QM35TIROBADW2LXCFP57L2V6ZU","bundle":"https://pith.science/pith/QM35TIROBADW2LXCFP57L2V6ZU/bundle.json","state":"https://pith.science/pith/QM35TIROBADW2LXCFP57L2V6ZU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QM35TIROBADW2LXCFP57L2V6ZU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QM35TIROBADW2LXCFP57L2V6ZU","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"74632166dc95f64cf392883974cfe5c973bb52740cfe8bf40dc90dc5d577909f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-01-05T12:20:41Z","title_canon_sha256":"1e83a8bd2be8c204b20cc332e9a8b486cdcb0bd46fc4d0fe28bec55ab51874b2"},"schema_version":"1.0","source":{"id":"1201.1145","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1145","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1145v1","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1145","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"pith_short_12","alias_value":"QM35TIROBADW","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QM35TIROBADW2LXC","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QM35TIRO","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:279a023eb0b0de4280a0d345d896344daa0ee6b8ed9b6fdff6eafb4707ca16a0","target":"graph","created_at":"2026-05-18T04:05:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper, we consider a general form of nonlinear Schr\\\"{o}dinger equation with time-dependent nonlinearity. Based on the linear eigenvalue problem, the complete integrability of such nonlinear Schr\\\"{o}dinger equation is identified by admitting an infinite number of conservation laws. Using the Darboux transformation method, we obtain some explicit bright multi-soliton solutions in a recursive manner. The propagation characteristic of solitons and their interactions under the periodic plane wave background are discussed. Finally, the modulational instability of solutions is analyzed in t","authors_text":"Hong-Qing Zhang, Li Zou, Qi Ding, Shou-Fu Tian","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-01-05T12:20:41Z","title":"Conservation laws, bright matter wave solitons and modulational instability of nonlinear Schr\\\"{o}dinger equation with time-dependent nonlinearity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1145","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:de33bbd834690691844b78a9e6f608fad713ff17b8fa8a241cd771e3488d2380","target":"record","created_at":"2026-05-18T04:05:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"74632166dc95f64cf392883974cfe5c973bb52740cfe8bf40dc90dc5d577909f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-01-05T12:20:41Z","title_canon_sha256":"1e83a8bd2be8c204b20cc332e9a8b486cdcb0bd46fc4d0fe28bec55ab51874b2"},"schema_version":"1.0","source":{"id":"1201.1145","kind":"arxiv","version":1}},"canonical_sha256":"8337d9a22e08076d2ee22bfbf5eabecd0df383bf46465783c1b370c18c5051db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8337d9a22e08076d2ee22bfbf5eabecd0df383bf46465783c1b370c18c5051db","first_computed_at":"2026-05-18T04:05:05.985849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:05.985849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jun2tTxK/p2Ck1oK9Db3yd4NNKjx3x+V/089sBaQH7k/8ipz5RPOx6iaN98T1k+py9VHbMzgo+hZF9GKxcHwCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:05.986562Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.1145","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de33bbd834690691844b78a9e6f608fad713ff17b8fa8a241cd771e3488d2380","sha256:279a023eb0b0de4280a0d345d896344daa0ee6b8ed9b6fdff6eafb4707ca16a0"],"state_sha256":"e7fb750ee57256f248b36ad7a00ebf427fad59d685bd9277e0a9d5be0aa9763a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iYXJT1lRpJPk1bU6N9Yyy7w98UJw4oNFh6apEdq3KNNCvHdbGpPy1N/ryls/ka0tqZBZSfPSWrFamD3zXfXLBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:53:49.666941Z","bundle_sha256":"125e3d67015af1b05fb2b8b206f09e2cab91812a1a98eb99abd473138c7a2526"}}